{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "41719d51",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Building prefix dict from the default dictionary ...\n",
      "Loading model from cache /tmp/jieba.cache\n",
      "Loading model cost 0.351 seconds.\n",
      "Prefix dict has been built successfully.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansTaiLe-Regular.ttf', name='Noto Sans Tai Le', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/opentype/urw-base35/URWGothic-Book.otf', name='URW Gothic', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/opentype/urw-base35/NimbusSans-BoldItalic.otf', name='Nimbus Sans', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansTifinaghAir-Regular.ttf', name='Noto Sans Tifinagh Air', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoMusic-Regular.ttf', name='Noto Music', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansCham-Bold.ttf', name='Noto Sans Cham', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifLao-Regular.ttf', name='Noto Serif Lao', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansCypriot-Regular.ttf', name='Noto Sans Cypriot', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansAdlamUnjoined-Regular.ttf', name='Noto Sans Adlam Unjoined', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansBuhid-Regular.ttf', name='Noto Sans Buhid', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansImperialAramaic-Regular.ttf', name='Noto Sans Imperial Aramaic', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansBengali-Regular.ttf', name='Noto Sans Bengali', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoNastaliqUrdu-Regular.ttf', name='Noto Nastaliq Urdu', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/liberation/LiberationMono-Italic.ttf', name='Liberation Mono', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansMono-Regular.ttf', name='Noto Sans Mono', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansTamilSupplement-Regular.ttf', name='Noto Sans Tamil Supplement', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansKhudawadi-Regular.ttf', name='Noto Sans Khudawadi', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansLepcha-Regular.ttf', name='Noto Sans Lepcha', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansDisplay-BoldItalic.ttf', name='Noto Sans Display', style='italic', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/liberation/LiberationSansNarrow-Bold.ttf', name='Liberation Sans Narrow', style='normal', variant='normal', weight=700, stretch='condensed', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/opentype/noto/NotoSansCJK-Bold.ttc', name='Noto Sans CJK JP', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/opentype/urw-base35/URWBookman-LightItalic.otf', name='URW Bookman', style='italic', variant='normal', weight=300, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansCoptic-Regular.ttf', name='Noto Sans Coptic', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/liberation/LiberationSansNarrow-Italic.ttf', name='Liberation Sans Narrow', style='italic', variant='normal', weight=400, stretch='condensed', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerif-Regular.ttf', name='Noto Serif', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansTifinaghGhat-Regular.ttf', name='Noto Sans Tifinagh Ghat', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansGunjalaGondi-Regular.ttf', name='Noto Sans Gunjala Gondi', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/opentype/cantarell/Cantarell-Thin.otf', name='Cantarell', style='normal', variant='normal', weight=100, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/unifont/unifont_csur.ttf', name='Unifont CSUR', style='normal', variant='normal', weight=500, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansNabataean-Regular.ttf', name='Noto Sans Nabataean', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansTifinaghRhissaIxa-Regular.ttf', name='Noto Sans Tifinagh Rhissa Ixa', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansLinearB-Regular.ttf', name='Noto Sans Linear B', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/opentype/urw-base35/StandardSymbolsPS.otf', name='Standard Symbols PS', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansHanifiRohingya-Bold.ttf', name='Noto Sans Hanifi Rohingya', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifKannada-Regular.ttf', name='Noto Serif Kannada', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifHebrew-Bold.ttf', name='Noto Serif Hebrew', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifNyiakengPuachueHmong-Regular.ttf', name='Noto Serif Hmong Nyiakeng', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/opentype/urw-base35/C059-Italic.otf', name='C059', style='italic', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansSoraSompeng-Bold.ttf', name='Noto Sans Sora Sompeng', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifKhmer-Bold.ttf', name='Noto Serif Khmer', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansOsmanya-Regular.ttf', name='Noto Sans Osmanya', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoNaskhArabic-Regular.ttf', name='Noto Naskh Arabic', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansSoraSompeng-Regular.ttf', name='Noto Sans Sora Sompeng', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansWarangCiti-Regular.ttf', name='Noto Sans Warang Citi', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifAhom-Regular.ttf', name='Noto Serif Ahom', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansBuginese-Regular.ttf', name='Noto Sans Buginese', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoLoopedThai-Bold.ttf', name='Noto Looped Thai', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansMahajani-Regular.ttf', name='Noto Sans Mahajani', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansNewa-Regular.ttf', name='Noto Sans Newa', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifEthiopic-Bold.ttf', name='Noto Serif Ethiopic', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansSundanese-Bold.ttf', name='Noto Sans Sundanese', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifTamilSlanted-Bold.ttf', name='Noto Serif Tamil Slanted', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansLao-Regular.ttf', name='Noto Sans Lao', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansPauCinHau-Regular.ttf', name='Noto Sans Pau Cin Hau', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerif-Bold.ttf', name='Noto Serif', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansNewTaiLue-Regular.ttf', name='Noto Sans New Tai Lue', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansMeroitic-Regular.ttf', name='Noto Sans Meroitic', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/dejavu/DejaVuSans.ttf', name='DejaVu Sans', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansPahawhHmong-Regular.ttf', name='Noto Sans Pahawh Hmong', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifBengali-Bold.ttf', name='Noto Serif Bengali', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansEgyptianHieroglyphs-Regular.ttf', name='Noto Sans Egyptian Hieroglyphs', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansBassaVah-Regular.ttf', name='Noto Sans Bassa Vah', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSerifKannada-Bold.ttf', name='Noto Serif Kannada', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansTifinaghTawellemmet-Regular.ttf', name='Noto Sans Tifinagh Tawellemmet', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansBatak-Regular.ttf', name='Noto Sans Batak', style='normal', variant='normal', weight=400, stretch='normal', size='scalable')\n",
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      "FontEntry(fname='/usr/share/fonts/truetype/noto/NotoSansJavanese-Bold.ttf', name='Noto Sans Javanese', style='normal', variant='normal', weight=700, stretch='normal', size='scalable')\n",
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   "source": [
    "import math\n",
    "import torch\n",
    "from torch import nn\n",
    "from d2l import torch as d2l\n",
    "from my_dataset import data_iter, vocab\n",
    "\n",
    "\"\"\"\n",
    "centers shape: torch.Size([16, 1]) batch_size = 16  words length = 1\n",
    "contexts_negatives shape: torch.Size([16, 48]) batch_size = 16  words length = 48\n",
    "masks shape: torch.Size([16, 48]) batch_size = 16  masks length = 48\n",
    "labels shape: torch.Size([16, 48]) batch_size = 16  label length = 48\n",
    "\"\"\"\n",
    "# 增加一个嵌入层\n",
    "embed = nn.Embedding(num_embeddings=20, embedding_dim=4)\n",
    "\n",
    "\n",
    "# print(f'Parameter embedding_weight ({embed.weight.shape}, '\n",
    "#       f'dtype={embed.weight.dtype})')\n",
    "# # 模拟对中心词进行embedding\n",
    "# x = torch.randint(0, 20, (16, 1))\n",
    "# print(x.shape)\n",
    "# print(embed(x).shape)\n",
    "# # 模拟对上下文词进行embedding\n",
    "# x = torch.randint(0, 20, (16, 48))\n",
    "# print(x.shape)\n",
    "# print(embed(x).shape)\n",
    "\n",
    "# 14.4.1.2. 定义前向传播\n",
    "def skip_gram(center, contexts_and_negatives, embed_v, embed_u):\n",
    "    v = embed_v(center)\n",
    "    u = embed_u(contexts_and_negatives)\n",
    "    # print(\"v shape\", v.shape)\n",
    "    # print(\"u shape\", u.shape, u.permute(0, 2, 1).shape)\n",
    "    # v shape torch.Size([16, 1, 100]) torch.Size([16, 100, 48])\n",
    "    pred = torch.bmm(v, u.permute(0, 2, 1))\n",
    "    # print(\"pred shape\", pred.shape)\n",
    "    # 计算中心词和边缘词之间的关联关系 [16, 1, 42]\n",
    "    return pred\n",
    "\n",
    "\n",
    "\"\"\"\n",
    "v shape torch.Size([16, 1, 4])\n",
    "u shape torch.Size([16, 48, 4])\n",
    "pred shape torch.Size([16, 1, 48])\n",
    "\"\"\"\n",
    "\n",
    "\n",
    "# skip_gram(torch.ones((16, 1), dtype=torch.long),\n",
    "#           torch.ones((16, 48), dtype=torch.long), embed, embed)\n",
    "\n",
    "\n",
    "# 14.4.2.1. 二元交叉熵损失\n",
    "class SigmoidBCELoss(nn.Module):\n",
    "    # 带掩码的二元交叉熵损失\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "    def forward(self, inputs, target, mask=None):\n",
    "        out = nn.functional.binary_cross_entropy_with_logits(\n",
    "            inputs, target, weight=mask, reduction=\"none\")\n",
    "        return out.mean(dim=1)\n",
    "\n",
    "\n",
    "def sigmd(x):\n",
    "    return -math.log(1 / (1 + math.exp(-x)))\n",
    "\n",
    "\n",
    "# print(\"###################################################\")\n",
    "loss = SigmoidBCELoss()\n",
    "pred = torch.tensor([[1.1, -2.2, 3.3, -4.4]] * 2)\n",
    "label = torch.tensor([[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0]])\n",
    "mask = torch.tensor([[1, 1, 1, 1], [1, 1, 0, 0]])\n",
    "# print(loss(pred, label, mask) * mask.shape[1] / mask.sum(axis=1))\n",
    "\n",
    "# 手工计算二元交叉熵损失\n",
    "# print(f'{(sigmd(1.1) + sigmd(2.2) + sigmd(-3.3) + sigmd(4.4)) / 4:.4f}')\n",
    "# print(f'{(sigmd(-1.1) + sigmd(-2.2)) / 2:.4f}')\n",
    "# print(\"###################################################\")\n",
    "\n",
    "# 14.4.2.2. 初始化模型参数\n",
    "embed_size = 3\n",
    "net = nn.Sequential(nn.Embedding(num_embeddings=len(vocab),\n",
    "                                 embedding_dim=embed_size),\n",
    "                    nn.Embedding(num_embeddings=len(vocab),\n",
    "                                 embedding_dim=embed_size))\n",
    "\n",
    "\n",
    "# 14.4.2.3. 定义训练阶段代码\n",
    "def train(net, data_iter, lr, num_epochs, device=d2l.try_gpu()):\n",
    "    def init_weights(m):\n",
    "        # 对模型m进行操作。\n",
    "        if type(m) == nn.Embedding:\n",
    "            nn.init.xavier_uniform_(m.weight)\n",
    "\n",
    "    net.apply(init_weights)\n",
    "    net = net.to(device)\n",
    "    optimizer = torch.optim.Adam(net.parameters(), lr=lr)\n",
    "    animator = d2l.Animator(xlabel='epoch', ylabel='loss',\n",
    "                            xlim=[1, num_epochs])\n",
    "    # 规范化的损失之和，规范化的损失数\n",
    "    metric = d2l.Accumulator(2)\n",
    "    for epoch in range(num_epochs):\n",
    "        timer, num_batches = d2l.Timer(), len(data_iter)\n",
    "        for i, batch in enumerate(data_iter):\n",
    "            optimizer.zero_grad()\n",
    "            center, context_negative, mask, label = [\n",
    "                data.to(device) for data in batch]\n",
    "            # 该方法计算的结果是1个中心词和N和上下文向量的关系\n",
    "            pred = skip_gram(center, context_negative, net[0], net[1])\n",
    "            # print(\"center\",center.shape)\n",
    "            # print(\"pred\",pred.shape)\n",
    "            # print(\"label\",label.shape)\n",
    "\n",
    "            \"\"\"\n",
    "            print(\"pred.reshape(label.shape).float()\",pred.reshape(label.shape).float().shape)\n",
    "            print(\"label.float()\",label.float().shape)\n",
    "            print(\"mask\",mask.shape)\n",
    "            pred.reshape(label.shape).float() torch.Size([16, 54])\n",
    "            label.float() torch.Size([16, 54])\n",
    "            mask torch.Size([16, 54])\n",
    "            将 pred  从 torch.Size([16,1, 54]) 变为 torch.Size([16, 54]) 并将label和mask都统一\n",
    "            \"\"\"\n",
    "            l = (loss(pred.reshape(label.shape).float(), label.float(), mask)\n",
    "                 / mask.sum(axis=1) * mask.shape[1])\n",
    "            # print(\"pred.reshape(label.shape).float()\",pred.reshape(label.shape).float())\n",
    "            # print(l,\"--------------------------\")\n",
    "            l.sum().backward()\n",
    "            optimizer.step()\n",
    "            # metric.add(l.sum(), l.numel())\n",
    "            # if (i + 1) % (num_batches // 5) == 0 or i == num_batches - 1:\n",
    "            #     animator.add(epoch + (i + 1) / num_batches,\n",
    "            #                  (metric[0] / metric[1],))\n",
    "        # print(\"loss\",l)\n",
    "        # print(f'loss ------------------------ {metric[0] / metric[1]:.3f}, '\n",
    "        #       f'{metric[1] / timer.stop():.1f} tokens/sec on {str(device)}')\n",
    "\n",
    "\n",
    "lr, num_epochs = 0.003, 200\n",
    "train(net, data_iter, lr, num_epochs)\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "\n",
    "def get_similar_tokens(query_token, k, net):\n",
    "    # 这一小节的核心就是这个\n",
    "    embed = net[0]\n",
    "    # W 是中心词的词嵌入参数\n",
    "    W = embed.weight.data\n",
    "    print(\"词嵌入信息\", W.shape)\n",
    "    # 词嵌入信息 torch.Size([183, 100])\n",
    "    # x 是中心词对应词嵌入参数\n",
    "    x = W[vocab[query_token]]\n",
    "    # print(\"x.shape\", x.shape)\n",
    "    # print(\"W.shape\", W.shape)\n",
    "    # print(\"torch.mv(W, x)\",torch.mv(W, x).shape)\n",
    "    # print(\"torch.sum(W * W, dim=1)\",torch.sum(W * W, dim=1).shape)\n",
    "    # print(\"torch.sum(x * x)\",torch.sum(x * x))\n",
    "    # print(\"torch.sqrt(torch.sum(W * W, dim=1) * torch.sum(x * x) + 1e-9)\",torch.sqrt(torch.sum(W * W, dim=1) * torch.sum(x * x) + 1e-9).shape)\n",
    "    # # 计算余弦相似性。增加1e-9以获得数值稳定性\n",
    "    # print(\"torch.mv(W, x)\",torch.mv(W, x))\n",
    "    print(\"尺度1\", torch.sum(W * W, dim=1).shape)\n",
    "    print(\"尺度2\", torch.sum(x * x).shape)\n",
    "    \"\"\"\n",
    "    公式 14.1.1\n",
    "    torch.sum(W * W, dim=1)计算的是W的每个元素的平方和，即W的模（长度）的平方。\n",
    "    torch.sum(x * x)计算的是x的每个元素的平方和，即x的模（长度）的平方。\n",
    "    将这两个值相乘后开方，得到的是W和x的模的乘积，即它们原始长度的乘积。\n",
    "    最后加上一个小的常数1e-9是为了避免除以零的情况，这是一个数值稳定性的技巧。\n",
    "    大概是如下的逻辑技巧\n",
    "    >>> a = torch.FloatTensor([1,2,3])\n",
    "    >>> torch.sqrt(a@a.T)\n",
    "    tensor(3.7417)\n",
    "    >>> a/torch.sqrt(a@a.T)\n",
    "t   ensor([0.2673, 0.5345, 0.8018])\n",
    "\n",
    "    \"\"\"\n",
    "    # print(\"W111\", W.shape)\n",
    "    # print(\"x111\", x.shape)\n",
    "    cos = torch.mv(W, x) / torch.sqrt(torch.sum(W * W, dim=1) * torch.sum(x * x) + 1e-9)\n",
    "    # cos1 = torch.mv(W, x)\n",
    "    # print(\"cos.shape\", cos.shape)\n",
    "    topk = torch.topk(cos, k=k + 1)[1].cpu().numpy().astype('int32')\n",
    "    # topk1 = torch.topk(cos1, k=k + 1)[1].cpu().numpy().astype('int32')\n",
    "    # print(\"topk\",topk)\n",
    "    # for i in topk[1:]:\n",
    "    #     print(f'cosine sim={float(cos[i]):.3f}: {vocab.to_tokens(i)}')\n",
    "    # for i in topk1[1:]:\n",
    "    #     print(f'cosine sim={float(cos[i]):.3f}: {vocab.to_tokens(i)}')\n",
    "    return vocab.to_tokens(topk[1:][0])\n",
    "\n",
    "\n",
    "from chinese_split_word_ictclas import sentences\n",
    "\n",
    "\n",
    "def get_similar_sentences(query_tokens, k, net):\n",
    "    # 这一小节的核心就是这个\n",
    "    embed = net[0]\n",
    "    # W 是中心词的词嵌入参数\n",
    "    W = embed.weight.data\n",
    "    # print(\"词嵌入信息\", W.shape)\n",
    "    cos_sum = torch.zeros([len(sentences)])\n",
    "    for query_token in query_tokens:\n",
    "        x = W[vocab[query_token]]\n",
    "        cos = []\n",
    "        for sentence in sentences:\n",
    "            WS = []\n",
    "            for i in sentence:\n",
    "                WS.append(W[vocab[i]])\n",
    "\n",
    "            WS = torch.stack(WS, dim=0)\n",
    "            cos_2_v = torch.mv(WS, x) / torch.sqrt(torch.sum(WS * WS, dim=1) * torch.sum(x * x) + 1e-9)\n",
    "            # print(\"cos_2_v\", torch.mean(cos_2_v))\n",
    "            # print(cos)\n",
    "            cos.append(torch.mean(cos_2_v))\n",
    "        cos = torch.stack(cos, dim=0)\n",
    "        # print(cos)\n",
    "        cos_sum += cos\n",
    "\n",
    "    # print(\"cos\",len(cos))\n",
    "    topk = torch.topk(cos_sum, k=k + 1)[1].cpu().numpy().astype('int32')\n",
    "    print(\"topk\", topk)\n",
    "    for i in topk:\n",
    "        print(sentences[i])\n",
    "\n",
    "\n",
    "# a = get_similar_tokens('每秒', 3, net)\n",
    "# print(a)\n",
    "\n",
    "# a = get_similar_sentences(['物理', '暴击率', '提高', '30%'], 3, net)\n",
    "# print(a)\n",
    "# a = get_similar_sentences(['法术', '提升'], 3, net)\n",
    "# print(a)\n",
    "\"\"\"\n",
    "公式 14.2.3 解释\n",
    "对于任何一句话来说，我们将计算联合概率\n",
    "假设一句话有T个词，我们将按照每一个词为中心词计算每个词做为中心词的联合概率，然后再将他们乘起来，因此外层是T个概率乘积。\n",
    "在计算每一个词作为中心词的概率的时候，设定m为窗口，获取左边和右边的各m个词。计算中心词出现同时各个周围的词出现的概率。\n",
    "最后计算所有这些中心词计算出来的联合概率的乘积。\n",
    "\n",
    "Word2Vec的主要问题是无法解决多义词的问题。（在没有多义词的场景中使用）\n",
    "\"\"\"\n",
    "\n",
    "# 可视化\n",
    "embed = net[0]\n",
    "# W 是中心词的词嵌入参数\n",
    "W = embed.weight.data\n",
    "print(W.shape)\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "from matplotlib import font_manager\n",
    "for i in font_manager.FontManager().ttflist:\n",
    "    print(i)\n",
    "\n",
    "# 如何扫描本机是否有中文字体 fc-list :lang=zh\n",
    "# 设置 Matplotlib 配置参数，使其支持中文显示\n",
    "plt.rcParams['font.sans-serif'] = ['WenQuanYi Micro Hei']  # 使用黑体\n",
    "plt.rcParams['axes.unicode_minus'] = False  # 正确显示负号\n",
    "# 假设我们有一些三维数据点\n",
    "x = W.T[0]\n",
    "y = W.T[1]\n",
    "z = W.T[2]\n",
    "\n",
    "# 创建一个新的图形\n",
    "fig = plt.figure()\n",
    "# 添加一个3D子图\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "# 为每个点生成一个颜色（这里使用RGB颜色）\n",
    "colors = np.random.rand(W.shape[0], 3)  # 生成50个RGB颜色值，每个颜色值是一个长度为3的数组\n",
    "# 设置标题和轴标签\n",
    "ax.set_title('带有不同颜色和文字序号的3D散点图示例')\n",
    "# 绘制3D散点图\n",
    "scatter = ax.scatter(x, y, z, c=colors, marker='o')\n",
    "ax.set_xlabel('X轴')\n",
    "ax.set_ylabel('Y轴')\n",
    "ax.set_zlabel('Z轴')\n",
    "# 为每个数据点添加文字标签\n",
    "# for i, txt in enumerate(np.arange(1, W.shape[0] + 1)):  # 假设我们使用从1开始的序号作为标签\n",
    "#     ax.text(x[i], y[i], z[i], vocab.to_tokens([int(txt) - 1])[0], color='black')  # 这里的txt是标签，可以根据需要自定义\n",
    "# 显示颜色条\n",
    "fig.colorbar(scatter)\n",
    "# 显示图形\n",
    "plt.show()\n"
   ]
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